# GATE (Graduate Aptitude Test in Engineering) Physics: Questions 649 - 652 of 659

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## Question 649

Appeared in Year: *2017*

### Question

MCQ▾The wavefunction of which orbital is spherically symmetric:

### Choices

Choice (4) | Response | |
---|---|---|

a. | ||

b. | ||

c. | ||

d. |

## Question 650

Appeared in Year: *2017*

### Describe in Detail

Essay▾The imaginary part of an analytic complex function is . The real part of the function is zero at the origin. The value of the real part of the function at is ________. (up to two decimal places) .

### Explanation

Let the analytic complex function is,

Where, is real part of and is imaginary part of .

Since,

Here, function is analytic, therefore It satisfies Cauchy – Riemann equations.

From equation (3) ,

Where, is an arbitrary function of , which can be determined from equation (4) ,

From equation (5) and equation (6) ,

From question, the real part of the fun…

… (27 more words) …

## Question 651

Appeared in Year: *2017*

### Question

MCQ▾In the figure given below, the input to the primary of the transformer is a voltage varying sinusoidally with time. The resistor is connected to the centre tap of the secondary. Which one of the following plots represents the voltage across the resistor as a function of time?

### Choices

Choice (4) | Response | |
---|---|---|

a. | ||

b. | ||

c. | ||

d. |

## Question 652

Appeared in Year: *2017*

### Question

MCQ▾Which one of the following conservation laws is violated in the decay ?

### Choices

Choice (4) | Response | |
---|---|---|

a. | Angular momentum | |

b. | Total Lepton number | |

c. | Tau number | |

d. | Electric charge |